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Finding the Fourth Proportional to 356.88, 535.33 and 194.88

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Solution

The fourth proportional to 356.88, 535.33 and 194.88 is: 292.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.88 : 535.33 = 194.88 : x
  2. Step 2: Convert to fraction form
    356.88/535.33 = 194.88/x
  3. Step 3: Cross multiply
    356.88x = 535.33 × 194.88
  4. Step 4: Simplify right side
    356.88x = 104,327.36
  5. Step 5: Solve for x
    x = 104,327.36/356.88
  6. Step 6: Final answer
    x = 292.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.